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Finding the Fourth Proportional to 15,828.48, 21,833.04 and 12,465.84

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Solution

The fourth proportional to 15,828.48, 21,833.04 and 12,465.84 is: 17,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,828.48 : 21,833.04 = 12,465.84 : x
  2. Step 2: Convert to fraction form
    15,828.48/21,833.04 = 12,465.84/x
  3. Step 3: Cross multiply
    15,828.48x = 21,833.04 × 12,465.84
  4. Step 4: Simplify right side
    15,828.48x = 272,167,183.35
  5. Step 5: Solve for x
    x = 272,167,183.35/15,828.48
  6. Step 6: Final answer
    x = 17,194.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.